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Finding the Third Proportional to 102,669 and 153,586

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Solution

The third proportional to 102,669 and 153,586 is: 229,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,669 : 153,586 = 153,586 : x
  2. Step 2: Convert to fraction form
    102,669/153,586 = 153,586/x
  3. Step 3: Cross multiply
    102,669x = 153,586 × 153,586
  4. Step 4: Simplify right side
    102,669x = 23,588,659,396
  5. Step 5: Solve for x
    x = 23,588,659,396/102,669
  6. Step 6: Final answer
    x = 229,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.